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Finding the Fourth Proportional to 82,605.42, 113,997.96 and 58,449.69

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Solution

The fourth proportional to 82,605.42, 113,997.96 and 58,449.69 is: 80,662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,605.42 : 113,997.96 = 58,449.69 : x
  2. Step 2: Convert to fraction form
    82,605.42/113,997.96 = 58,449.69/x
  3. Step 3: Cross multiply
    82,605.42x = 113,997.96 × 58,449.69
  4. Step 4: Simplify right side
    82,605.42x = 6,663,145,422.63
  5. Step 5: Solve for x
    x = 6,663,145,422.63/82,605.42
  6. Step 6: Final answer
    x = 80,662.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.